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ANTONII [103]
3 years ago
11

What is the range of the function f(x) = -|3x + 3|?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Answer:

The range of the function f(x) = -|3\cdot x+3| is every positive real numbers plus zero.

Step-by-step explanation:

According to definition of the absolute value, the range of absolute value covers positive real numbers or zero. A linear function is a continuous function, which means the existence of an image for every element from domain. The negative sign transforms the original range to all negative real numbers plus zero.

Hence, the range of the function f(x) = -|3\cdot x+3| is every positive real numbers plus zero.

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Use the number line below, where RS = 4y + 2, ST = 3y + 7, and RT = 44.
hodyreva [135]

Answer:

Y = 5

Step-by-step explanation:

RT = RS + ST

44 = 4y + 2 + 3y + 7

44 -2 -7 = 7y

35 = 7y

y = 5

4 0
3 years ago
Use the following functions for 10–12:
Step2247 [10]
  • h(x) = f(x) + g(x) = h(x) = 18.5x-16
  • h(x) = g(x) – f(x) = h(x) = 23.5x-40
  • h(x) = 4g(x) = h(x) = (84x-112)

<u>Step-by-step explanation:</u>

Here we have , f(x) = -2.5x + 12; g(x) = 21x - 28 or f(x) = -2.5x + 12, g(x) = 21x - 28 .

10. Find h(x) = f(x) + g(x).

⇒ h(x) = f(x) +g(x)

⇒ h(x) = ( -2.5x + 12)+( 21x - 28)

⇒ h(x) = ( 21x-2.5x )+( 12 - 28)

⇒ h(x) = 18.5x-16

11. Find h(x) = g(x) – f(x).

⇒ h(x) = g(x)-f(x)

⇒ h(x) = ( 21x - 28)-( -2.5x + 12 )

⇒ h(x) = ( 21x+2.5x )+( -12 - 28)

⇒ h(x) = 23.5x-40

12. Find h(x) = 4g(x).

⇒ h(x) = 4g(x)

⇒ h(x) = 4( 21x - 28)

⇒ h(x) = (84x-112)

6 0
3 years ago
Name the integer that represents the situation. Sarah withdrew $34.25 from his account.
hichkok12 [17]

withdraws are negative

-34.25

integers are whole number without decimals or fractions

-34

4 0
3 years ago
0.3820 is the result when 0.3819 is rounded to the nearest ten-thousandth.
labwork [276]
Yes it is because it goes tenths,hundredths,ten-hundredths and so on
6 0
3 years ago
Read 2 more answers
18=b/3+3 what's the solution
madam [21]

b= 63 and that is your answer


5 0
3 years ago
Read 2 more answers
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